87433906560 has 1536 divisors, whose sum is σ = 390544519680. Its totient is φ = 16349921280.

The previous prime is 87433906529. The next prime is 87433906579. The reversal of 87433906560 is 6560933478.

It is a super-2 number, since 2×87433906560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 901380432 + ... + 901380528.

It is an arithmetic number, because the mean of its divisors is an integer number (254260755).

Almost surely, 2^87433906560 is an apocalyptic number.

87433906560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87433906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195272259840).

87433906560 is an abundant number, since it is smaller than the sum of its proper divisors (303110613120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87433906560 is a wasteful number, since it uses less digits than its factorization.

87433906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 87433906560 in words is "eighty-seven billion, four hundred thirty-three million, nine hundred six thousand, five hundred sixty".